1. Portfolio URL
You can see the public URL of your portfolio by going to your Portfolio section and then checking the link displayed in the sidebar menu on the left:

There is also a button labeled "Go to public portfolio" that will open a new window with your portfolio.
The URL format of all Authory portfolios is always authory.com/YOURNAME. If you want to change the latter part (e.g. from authory.com/AlexWilhelm to authory.com/alex), then please send us an email and we'll do that for you: hello@authory.com
2. Custom domain
If you want to make your portfolio available under your own custom domain, then you can redirect it via its DNS settings. You'll find a detailed guide here.